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Let A B is the focal chord of a parabola and D and C be the foot of the perpendiculars from A and B on its directrix respectively. If C D = 6 units and area of trapezium A B C D is 36 square units, then the length (in units) of the chord A B is

Correct answer

12

Step-by-step solution

Let S be focus, A S = A D and B S = B C Area of trapezium = 1 2 A D + B C . 6 = 3 ( A S + B C ) = 3 A B Hence, A B = 12 units

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